132221030400 has 780 divisors, whose sum is σ = 516170608800. Its totient is φ = 33363394560.

The previous prime is 132221030393. The next prime is 132221030401. The reversal of 132221030400 is 4030122231.

132221030400 is a `hidden beast` number, since 1 + 3 + 22 + 210 + 30 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132221030401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 157593181 + ... + 157594019.

Almost surely, 2^132221030400 is an apocalyptic number.

132221030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132221030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258085304400).

132221030400 is an abundant number, since it is smaller than the sum of its proper divisors (383949578400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132221030400 is an equidigital number, since it uses as much as digits as its factorization.

132221030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132221030400 its reverse (4030122231), we get a palindrome (136251152631).

The spelling of 132221030400 in words is "one hundred thirty-two billion, two hundred twenty-one million, thirty thousand, four hundred".